Girard's men fell behind in the 35th minute at the Stade Pierre Mauroy as Colombian striker Ricardo Laborde put the Russian visitors in front.
A free-kick just after the hour from Danish defender Simon Kjaer meant the spoils were shared, but Girard was left disappointed by his team, who sit top of Ligue 1 after five matches.
"I do not know if we can say that it’s two points lost tonight [Thursday]," Girard said.
"We came up against a good team, well organised and that moved us physically.
"It was a laborious first half, the second was better. At half-time I changed the system because they needed more freshness and to better occupy the pitch.
"But tonight we did not have the ingredients to hinder them [Krasnodar]."
Girard was philosophical over his side’s failure to win, however, insisting that Lille will not be the only team to drop points at home in what he expects to be a fiercely contested Group H.
"It will be a hotly disputed group," Girard added. "Others will lose points at home.
"It's not going to be easy. We'll have tough matches so all points are good to take."